An in-compressible fluid flows steadily through a horizontal cylindrical pipe. The pipe has radius ' 3R ' at point A and ' 1.5R ' at point B, further along the flow direction at the same level. If the velocity at point A is ' v ', then that

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An in-compressible fluid flows steadily through a horizontal cylindrical pipe. The pipe has radius ' 3R ' at point A and ' 1.5R ' at point B, further along the flow direction at the same level. If the velocity at point A is ' v ', then that at point B is

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Correct answer: D. 4v

Using the equation of continuity for an incompressible fluid: A_A v_A = A_B v_B (3R)^2 v = (1.5R)^2 v_B 9 R^2 v = 2.25 R^2 v_B v_B = 9 2.25 v = 4v Answer: 4v

An in-compressible fluid flows steadily through a horizontal cylindrical pipe. The pipe has radius ' 3R ' at point A and ' 1.5R ' at point B, further along the flow direction at the same level. If the velocity at point A is ' v ', then that at point B is

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